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<H2><A NAME="SECTION02000000000000000000">
List of Tables</A>
</H2><UL>
<LI><A NAME="tex2html36"
 HREF="node24.html#1202">Matrix types in the LAPACK naming scheme</A>
<LI><A NAME="tex2html40"
 HREF="node26.html#1234">Driver routines for linear equations</A>
<LI><A NAME="tex2html128"
 HREF="node27.html#1409">Driver routines for linear least squares problems</A>
<LI><A NAME="tex2html193"
 HREF="node28.html#1482">Driver routines for generalized linear least squares problems</A>
<LI><A NAME="tex2html252"
 HREF="node32.html#1601">Driver routines for standard eigenvalue and singular value problems</A>
<LI><A NAME="tex2html384"
 HREF="node36.html#1877">Driver routines for generalized eigenvalue and singular value problems</A>
<LI><A NAME="tex2html460"
 HREF="node38.html#2274">Computational routines for linear equations</A>
<LI><A NAME="tex2html605"
 HREF="node38.html#2434">Computational routines for linear equations (continued)</A>
<LI><A NAME="tex2html1065"
 HREF="node44.html#2810">Computational routines for orthogonal factorizations</A>
<LI><A NAME="tex2html1176"
 HREF="node48.html#3128">Computational routines for the symmetric eigenproblem</A>
<LI><A NAME="tex2html1369"
 HREF="node52.html#3344">Computational routines for the nonsymmetric eigenproblem</A>
<LI><A NAME="tex2html1444"
 HREF="node53.html#3492">Computational routines for the singular value decomposition</A>
<LI><A NAME="tex2html1523"
 HREF="node54.html#3539">Reduction of generalized symmetric definite eigenproblems to standard
problems</A>
<LI><A NAME="tex2html1524"
 HREF="node54.html#3601">Computational routines for the generalized symmetric definite eigenproblem</A>
<LI><A NAME="tex2html1591"
 HREF="node58.html#3807">Computational routines for the generalized nonsymmetric eigenproblem</A>
<LI><A NAME="tex2html1654"
 HREF="node59.html#3892">Computational routines for the generalized singular value decomposition</A>
<LI><A NAME="tex2html1691"
 HREF="node65.html#7618">Speed in megaflops of Level 2 and Level 3 BLAS operations on an
SGI Origin 2000</A>
<LI><A NAME="tex2html1707"
 HREF="node67.html#7753">Characteristics of the Compaq/Digital computers timed</A>
<LI><A NAME="tex2html1708"
 HREF="node67.html#7762">Characteristics of the IBM computers timed</A>
<LI><A NAME="tex2html1709"
 HREF="node67.html#7771">Characteristics of the Intel computers timed</A>
<LI><A NAME="tex2html1710"
 HREF="node67.html#7780">Characteristics of the SGI computer timed</A>
<LI><A NAME="tex2html1711"
 HREF="node67.html#7789">Characteristics of the Sun computers timed</A>
<LI><A NAME="tex2html1713"
 HREF="node68.html#7809">Speed in megaflops of DGETRF for square matrices of order <B><I>n</I></B></A>
<LI><A NAME="tex2html1714"
 HREF="node68.html#7824">Speed in megaflops of DPOTRF for matrices of order <B><I>n</I></B> with UPLO =
`U'</A>
<LI><A NAME="tex2html1715"
 HREF="node68.html#7842">Speed in megaflops of DSYTRF for matrices of order <B><I>n</I></B> with UPLO =
`U' on an IBM Power&nbsp;3</A>
<LI><A NAME="tex2html1723"
 HREF="node69.html#7864">Speed in megaflops of DGEQRF for square matrices of order <B><I>n</I></B></A>
<LI><A NAME="tex2html1728"
 HREF="node70.html#7909">Speed in megaflops of reductions to condensed forms on an
IBM Power&nbsp;3</A>
<LI><A NAME="tex2html1804"
 HREF="node71.html#8093">Execution time and Megaflop rates for DGEMV and DGEMM</A>
<LI><A NAME="tex2html1805"
 HREF="node71.html#8134">``Standard'' floating point operation counts for LAPACK drivers
for <B><I>n</I></B>-by-<B><I>n</I></B> matrices</A>
<LI><A NAME="tex2html1806"
 HREF="node71.html#8149">Performance of DGESV for <B><I>n</I></B>-by-<B><I>n</I></B> matrices</A>
<LI><A NAME="tex2html1807"
 HREF="node71.html#8187">Performance of DGEEV, eigenvalues only</A>
<LI><A NAME="tex2html1808"
 HREF="node71.html#8247">Performance of DGEEV, eigenvalues and right eigenvectors</A>
<LI><A NAME="tex2html1809"
 HREF="node71.html#8367">Performance of DGESDD, singular values only</A>
<LI><A NAME="tex2html1810"
 HREF="node71.html#8427">Performance of DGESVD, singular values and left and right singular
vectors</A>
<LI><A NAME="tex2html1811"
 HREF="node71.html#8487">Performance of DGESDD, singular values and left and right singular
vectors</A>
<LI><A NAME="tex2html1859"
 HREF="node74.html#9758">Values of Machine Parameters in IEEE Floating Point Arithmetic</A>
<LI><A NAME="tex2html1951"
 HREF="node75.html#9921">Vector and matrix norms</A>
<LI><A NAME="tex2html1995"
 HREF="node76.html#10167">Bounding One Vector Norm in Terms of Another</A>
<LI><A NAME="tex2html1996"
 HREF="node76.html#10197">Bounding One Matrix Norm in Terms of Another</A>
<LI><A NAME="tex2html2254"
 HREF="node93.html#11470">Asymptotic error bounds for the nonsymmetric eigenproblem</A>
<LI><A NAME="tex2html2255"
 HREF="node93.html#11491">Global error bounds for the nonsymmetric eigenproblem
assuming 
<!-- MATH
 $\|E\|_F < s_i \cdot {\rm sep}_i / 4$
 -->
<IMG
 WIDTH="144" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img600.gif"
 ALT="$\Vert E\Vert _F &lt; s_i \cdot {\rm sep}_i / 4$"></A>
<LI><A NAME="tex2html2444"
 HREF="node102.html#12281">Asymptotic error bounds for the generalized nonsymmetric eigenvalue
problem</A>
<LI><A NAME="tex2html2445"
 HREF="node102.html#13304">Global error bounds for the generalized nonsymmetric
eigenvalue problem assuming 
<!-- MATH
 $\delta \equiv \|(E,F)\|_F/{\Delta} < 1$
 -->
<IMG
 WIDTH="169" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img789.gif"
 ALT="$\delta \equiv \Vert(E,F)\Vert _F/{\Delta} &lt; 1$">.</A>
<LI><A NAME="tex2html2638"
 HREF="node131.html#20794">Use of the block parameters NB, NBMIN, and NX in LAPACK</A></UL>
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<LI><A NAME="tex2html3950"
 HREF="node3.html">Preface to the Third Edition</A>
<LI><A NAME="tex2html3951"
 HREF="node4.html">Preface to the Second Edition</A>
</UL>
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<ADDRESS>
<I>Susan Blackford</I>
<BR><I>1999-10-01</I>
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